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Finding the Third Proportional to 401,193 and 881,106

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Solution

The third proportional to 401,193 and 881,106 is: 1,935,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,193 : 881,106 = 881,106 : x
  2. Step 2: Convert to fraction form
    401,193/881,106 = 881,106/x
  3. Step 3: Cross multiply
    401,193x = 881,106 × 881,106
  4. Step 4: Simplify right side
    401,193x = 776,347,783,236
  5. Step 5: Solve for x
    x = 776,347,783,236/401,193
  6. Step 6: Final answer
    x = 1,935,098.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.